GCF of 8658/827, 5538/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8658/827, 5538/674 i.e 78/557398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8658/827, 5538/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8658/827,5538/674?
Given fractions are 8658/827,5538/674
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8658/827,5538/674, numerators are 8658,5538
Denominators are 827,674
The GCF of 8658,5538 is 78 .
LCM of 827,674 is 557398.
The greatest common factor of 8658/827,5538/674 = [GCF of 8658,5538]/[LCM of 827,674]= 78/557398
Therefore, the GCF of 8658/827,5538/674 is 78/557398.
To find the highest common factor of 8658,5538, we have to find the factors of both numbers and list the highest common factor.
The factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538
The HCF of 8658,5538 is 78.
Lets's calculate GCF of 8658,5538
| 2 | 8658, 5538 |
| 3 | 4329, 2769 |
| 13 | 1443, 923 |
| 111, 71 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 8658,5538 By Matching Biggest Common Factor Method
Now, list down the factors of 8658
:1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Now, list down the factors of 5538
:1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538
Greatest Common Factor
We found the factors 8658,5538 . The biggest common factor number is the GCF number.
So the greatest common factor 8658,5538 is 78.
Lets's calculate LCM of 827,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 557398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/557398
Therefore, the GCF of Fractions 8658/827,5538/674 is 78/557398
Least Common Multiple of 827,674 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 827,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,674) x common factors =1 x 1 = 1
LCM(827,674) = ( 827 × 674 ) / 1
LCM(827,674) = 557398 / 1
LCM(827,674) = 557398
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FAQs on GCF of Fractions of 8658/827, 5538/674
1. What is the HCF of 8658,5538?
The HCF of 8658,5538 is 78
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8658/827, 5538/674?
Answer: GCF of Numerators as per given numbers 8658/827, 5538/674 is
GCF of Numerators i.e. for 8658,5538 is 78
LCM of denominators i.e. for 827,674 is 557398.
Thus, GCF of Fractions is 78/557398.Finally, GCF of Fractions for 8658/827, 5538/674 is 78/557398.